| 四维超二次平面纹曲面的探讨 |
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| 引用本文： | 贾洪斌. 四维超二次平面纹曲面的探讨[J]. 哈尔滨建筑大学学报, 1991, 0(3) |
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| 作者姓名： | 贾洪斌 |
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| 作者单位： | 哈尔滨建筑工程学院工程图学教研室 |
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| 摘 要： | 本文提出了四维空间中平面纹超曲面的形成条件,并证明了与不共超平面的两个平面和一条直线分别共超平面的平面轨迹是一个秩4的超二次平面纹曲面,或者与属于一点的三个平面均共超平面的平面轨迹亦是一个秩4的超二次平面纹曲面,且形成超二次曲面的这两种条件是等价的.文中还对这种超二次曲面的性质作了详细讨论。
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| 关 键 词： | 四维空间 超平面 超二次曲面 |
An Exploration on the Hyperquadric Surface Generated Planes in Four Dimension |
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| Jia Hongbin. An Exploration on the Hyperquadric Surface Generated Planes in Four Dimension[J]. Journal of Harbin University of Civil Engineering and Architecture, 1991, 0(3) |
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| Authors: | Jia Hongbin |
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| Affiliation: | Jia Hongbin |
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| Abstract: | In this paper,the condition forming of the hypersurface generated planes in fourdimension is presented.And it is proved that the locus of a plane on a hyperplanewith each of two guide planes and a guide line(or three guide planes) not being ona common hyperplane is a hyperquadric surface generated planes whose order is four.Andthe two conditions forming the hyperquadric surface are equal.The paper also gives a de-tailed discussion on the properties of the hyperquadric surface. |
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| Keywords: | four bimension hyperplane hyperquadric surface |
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